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Finding the Third Proportional to 313,448 and 477,516

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Solution

The third proportional to 313,448 and 477,516 is: 727,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,448 : 477,516 = 477,516 : x
  2. Step 2: Convert to fraction form
    313,448/477,516 = 477,516/x
  3. Step 3: Cross multiply
    313,448x = 477,516 × 477,516
  4. Step 4: Simplify right side
    313,448x = 228,021,530,256
  5. Step 5: Solve for x
    x = 228,021,530,256/313,448
  6. Step 6: Final answer
    x = 727,462.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.